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- W2963145508 abstract "Inspired by an example of Grebogi et al (1984 Physica D 13 261–8), we study a class of model systems which exhibit the full two-step scenario for the nonautonomous Hopf bifurcation, as proposed by Arnold (1998 Random Dynamical Systems (Berlin: Springer)). The specific structure of these models allows a rigorous and thorough analysis of the bifurcation pattern. In particular, we show the existence of an invariant 'generalised torus' splitting off a previously stable central manifold after the second bifurcation point." @default.
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- W2963145508 date "2015-06-26" @default.
- W2963145508 modified "2023-10-16" @default.
- W2963145508 title "A model for the nonautonomous Hopf bifurcation" @default.
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- W2963145508 doi "https://doi.org/10.1088/0951-7715/28/7/2587" @default.
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